(p,q)-Analogue of Mittag-Leffler Function with (p,q)-Laplace Transform
Year: 2022
Author: Alok Jain, Altaf Ahmad Bhat, Renu Jain, Deepak Kumar Jain
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 3 : pp. 351–360
Abstract
The aim of this paper is to define (p,q)-analogue of Mittag-Leffler Function, by using (p,q)-Gamma function. Some transformation formulae are also derived by using the (p,q)-derivative. The (p,q)-analogue for this function provides elegant generalization of q-analogue of Mittag-Leffler function in connection with q-calculus. Moreover, the (p,q)-Laplace Transform of the Mittag-Leffler function has been obtained. Some special cases have also been discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2018-0014
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 3 : pp. 351–360
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: $(p q)$-analogue of Mittag-Leffler function q)$-Gamma function q-calculus q)$-derivative operator q)$-Laplace transform.
Author Details
Alok Jain Email
Altaf Ahmad Bhat Email
Renu Jain Email
Deepak Kumar Jain Email